Compressional Waves along an Anisotropic Circular Cylinder Having Hexagonal Symmetry
Compressional Waves along an Anisotropic Circular Cylinder Having Hexagonal Symmetry
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DOI：
10.1121/1.1907440
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发表时间：
1954-11
影响因子：
2.4
通讯作者：
R. Morse
中科院分区：
文献类型：
--
作者：
R. Morse
本文导出了压缩弹性波沿着具有轴向弹性对称性的各向异性圆柱体的精确解。获得了位移分量的形式解，并导出了相速度和周长波长比的超越方程。所示的解决方案，以减少各向同性的情况下的Pochhammer解决方案。在长波长极端的速度是色散和轴向杨氏模量的条款。在短波长极限下，速度再次变为常数，类似于各向同性情况下的瑞利表面波极限。
Exact solutions are derived for the propagation of compressional elastic waves along an anisotropic circular cylinder having axial elastic symmetry (hexagonal elastic symmetry with the crystallographic axis coincident with the cylinder axis). Formal solutions are obtained for the displacement components, and a transcendental equation relating the phase velocity and the circumference‐to‐wavelength ratio is derived. The solutions are shown to reduce to the Pochhammer solution for the isotropic case. In the long wavelength extreme the velocity is dispersionless and is given in terms of the axial Young's modulus. In the short wave‐length limit the velocity again becomes constant, similar to the Rayleigh surface wave limit in the isotropic case.